PopCorn Particle Background
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If you want your background to be static, the important settings are:


a very high Number of particles
Frame Start = Frame End = 0
a very high Lifetime
emit the particles from the Volume of a cube, so that the density is even (this is important)
remove all Velocity from the particles
remove all Field Weights




For the collisions, emitting particles from the volume greatly reduce that problem: the distribution is more even and if you want you can set the Distribution (in the Source section) to Grid and play with the Random value